21292824642304 has 144 divisors (see below), whose sum is σ = 45188400628224. Its totient is φ = 9992470118400.

The previous prime is 21292824642241. The next prime is 21292824642307. The reversal of 21292824642304 is 40324642829212.

It is not an unprimeable number, because it can be changed into a prime (21292824642307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88087432 + ... + 88328824.

It is an arithmetic number, because the mean of its divisors is an integer number (313808337696).

Almost surely, 2^{21292824642304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21292824642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594200314112).

21292824642304 is an abundant number, since it is smaller than the sum of its proper divisors (23895575985920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21292824642304 is a wasteful number, since it uses less digits than its factorization.

21292824642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241714 (or 241700 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 21292824642304 in words is "twenty-one trillion, two hundred ninety-two billion, eight hundred twenty-four million, six hundred forty-two thousand, three hundred four".